A349117 a(n) = Sum_{m=1..n} (Sum_{k=1..m} (Sum_{j=1..k} j^k)).

1, 7, 49, 445, 5266, 77258, 1349554, 27306462, 627568355, 16142172173, 459332766227, 14324480721391, 485783513552956, 17798331858727376, 700589353757045796, 29484907446960975744, 1321168518044435497005, 62795290373559355285155, 3155553461189975793914005

Offset: 1

Author

Vaclav Kotesovec, Nov 08 2021

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A086787, A349116.

Programs

Mathematica

Table[Sum[Sum[Sum[j^k, {j, 1, k}], {k, 1, m}], {m, 1, n}], {n, 1, 20}]

Formula

a(n) ~ c * n^n, where c = 1/(1 - 1/exp(1)) = A185393 = 1/A068996 = 1.581976706...